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A129890 Difference between the double factorial of the n-th nonnegative even number and the double factorial of the n-th nonnegative odd number. +0
2
1, 5, 33, 279, 2895, 35685, 509985, 8294895, 151335135, 3061162125, 68000295825, 1645756410375, 43105900812975, 1214871076343925, 36659590336994625, 1179297174137457375, 40288002704636061375, 1456700757237661060125 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=(2*n)!!-(2*n-1)!!, with n>=1.

EXAMPLE

2!!-1!!=2-1=1

4!!-3!!=8-3=5

6!!-5!!=48-15=33

MAPLE

P:=proc(n) local a, i, j, k, w; for i from 1 by 1 to n do k:=product(2*j, j=1..i); w:=product(2*j-1, j=1..i); a:=k-w; print(a) od; end: P(20);

CROSSREFS

Cf. A122649.

Sequence in context: A087633 A135075 A049377 this_sequence A120733 A144792 A001828

Adjacent sequences: A129887 A129888 A129889 this_sequence A129891 A129892 A129893

KEYWORD

easy,nonn

AUTHOR

Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Jun 04 2007

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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